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Finding the Fourth Proportional to 195,744, 270,126.99 and 106,320

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Solution

The fourth proportional to 195,744, 270,126.99 and 106,320 is: 146,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,744 : 270,126.99 = 106,320 : x
  2. Step 2: Convert to fraction form
    195,744/270,126.99 = 106,320/x
  3. Step 3: Cross multiply
    195,744x = 270,126.99 × 106,320
  4. Step 4: Simplify right side
    195,744x = 28,719,901,576.80
  5. Step 5: Solve for x
    x = 28,719,901,576.80/195,744
  6. Step 6: Final answer
    x = 146,721.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.